Question

Simplify sec^2x-tan x-3

Answer 1

$\huge\longmapsto\mathfrak{Answer}$

=》

$\sec {}^{2} (x) - tan(x) - 3$

=》

$\tan {}^{2} (x) + 1 - \tan(x) - 3$

=》

$\tan {}^{2} (x) - \tan(x) - 2$

=》

$\tan {}^{2} (x) - 2\tan(x) + \tan(x) - 2$

=》

$\tan(x) ( \tan(x) - 2) + 1( \tan(x) - 2)$

=》

$( \tan(x) + 1)( \tan(x) - 2)$

so,

case - 1

=》

$\tan(x) = - 1$

case - 2

$\tan(x) = 2$

Answer 2

Sec^2x-tan x-3 = RED IS SUS